Measuring the nuclear equation of state with neutron star-black hole mergers

Gravitational-wave (GW) observations of neutron star-black hole (NSBH) mergers are sensitive to the nuclear equation of state (EOS). Using realistic simulations of NSBH mergers, incorporating both GW and electromagnetic (EM) selection to ensure sample purity, we find that a GW detector network operating at O5-sensitivities will constrain the radius of a $1.4~M_{\odot}$ NS and the maximum NS mass with $1.6\%$ and $13\%$ precision, respectively. The results demonstrate strong potential for insights into the nuclear EOS, provided NSBH systems are robustly identified.